76505480 has 64 divisors (see below), whose sum is σ = 180111600. Its totient is φ = 29209600.

The previous prime is 76505479. The next prime is 76505537. The reversal of 76505480 is 8450567.

It can be written as a sum of positive squares in 8 ways, for example, as 45346756 + 31158724 = 6734^2 + 5582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76505480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116834 + ... + 117486.

Almost surely, 2^76505480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90055800).

76505480 is an abundant number, since it is smaller than the sum of its proper divisors (103606120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76505480 is a wasteful number, since it uses less digits than its factorization.

76505480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 76505480 is about 8746.7411074068. The cubic root of 76505480 is about 424.5193736265.

The spelling of 76505480 in words is "seventy-six million, five hundred five thousand, four hundred eighty".